{
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   "source": [
    "***\n",
    "***\n",
    "# Intro to Neural Networks\n",
    "\n",
    "Handwritten Digits Recognization\n",
    "\n",
    "***\n",
    "***\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "- Deep Learning http://www.deeplearningbook.org\n",
    "    - An MIT Press book by Ian Goodfellow, Yoshua Bengio and Aaron Courville\n",
    "\n",
    "- Neural Networks and Deep Learning http://neuralnetworksanddeeplearning.com/index.html\n",
    "\n",
    "    - A free online book explaining the core ideas behind artificial neural networks and deep learning. [Code](https://github.com/mnielsen/neural-networks-and-deep-learning). By [Michael Nielsen](http://michaelnielsen.org/) / Dec 2017"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "\n",
    "\n",
    "<img src = './img/neuralnetwork/neuron2.png' width = 700 align = 'left'>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
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     "slide_type": "subslide"
    }
   },
   "source": [
    "<img src = './img/neuralnetwork/synapse.jpg' width = 150 align = 'right'>\n",
    "**The Neuron: A Biological Information Processor**\n",
    "\n",
    "- dentrites -   the receivers\n",
    "- soma -   neuron cell body (sums input signals)\n",
    "- axon  -   the transmitter\n",
    "- synapse 突触 -   point of transmission\n",
    "\n",
    "neuron activates after a certain threshold is met\n",
    "\n",
    "Learning occurs via electro-chemical changes in effectiveness of synaptic junction.  \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
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     "end_time": "2019-01-15T11:22:04.940334Z",
     "start_time": "2019-01-15T11:22:04.932572Z"
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     "slide_type": "subslide"
    }
   },
   "source": [
    "<img src = \"./img/neuralnetwork/layer.png\"  width=200 align = 'right'>\n",
    "**An Artificial Neuron: The Perceptron simulated on hardware or by software**\n",
    "- input connections -   the receivers\n",
    "- node simulates neuron body\n",
    "- output connection -   the transmitter\n",
    "- **activation function** employs a threshold or bias\n",
    "- connection weights act as synaptic junctions (突触)\n",
    "\n",
    "> Learning occurs via changes in value of the connection weights. \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "<img src = \"./img/neuralnetwork/layer.png\"  width=200 align = 'right'>\n",
    "\n",
    "Neural Networks consist of the following components\n",
    "\n",
    "- An **input layer**, **x**\n",
    "- An arbitrary amount of **hidden layers**\n",
    "- An **output layer**, **ŷ**\n",
    "- A set of **weights** and **biases** between each layer, **W and b**\n",
    "- A choice of **activation function** for each hidden layer, **σ**. \n",
    "    - e.g., Sigmoid activation function.\n",
    "\n",
    " "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "ANNs incorporate the two fundamental components of biological neural nets:\n",
    "\n",
    "\n",
    "- Neurones (nodes)\n",
    "- Synapses (weights)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "<img src = './img/neuralnetwork/net2.png' width = 400>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {
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     "start_time": "2019-01-15T14:02:35.338589Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.5"
      ]
     },
     "execution_count": 100,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "1*0.25 + 0.5*(-1.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T11:05:51.546122Z",
     "start_time": "2019-01-15T11:05:51.540662Z"
    },
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     "slide_type": "subslide"
    }
   },
   "source": [
    "Each iteration of the training process consists of the following steps:\n",
    "\n",
    "1. Calculating the predicted output **ŷ**, known as `feedforward`\n",
    "1. Updating the weights and biases, known as `backpropagation`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
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     "end_time": "2019-01-15T06:09:32.966910Z",
     "start_time": "2019-01-15T06:09:32.963111Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "<img src = \"./img/neuralnetwork/sequence.png\"  width=1000>\n",
    "\n",
    "**activation function** for each hidden layer, **σ**. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
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     "end_time": "2019-01-15T06:09:32.966910Z",
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    },
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     "slide_type": "subslide"
    }
   },
   "source": [
    "The output **ŷ** of a simple 2-layer Neural Network is:\n",
    "\n",
    "$$ \\widehat{y} = \\sigma (w_2 z + b_2) = \\sigma(w_2 \\sigma(w_1 x + b_1) + b_2)$$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "**Loss or Cost function**\n",
    "\n",
    "\\begin{eqnarray}  C(w,b) \\equiv\n",
    "  \\frac{1}{2n} \\sum_x \\| y(x) - \\widehat{y} \\|^2.\n",
    "\\tag{6}\\end{eqnarray}\n",
    "\n",
    "- $\\frac{1}{2}$ is used for the convenience of derivate.\n",
    "- w denotes the collection of all weights in the network, \n",
    "- b all the biases, \n",
    "- n is the total number of training inputs, \n",
    "- $\\widehat{y}$  is the vector of outputs from the network when x is input, and the sum is over all training inputs, x. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-21T11:23:44.492542Z",
     "start_time": "2019-06-21T11:23:44.487547Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "\n",
    "<img src= 'img/neuralnetwork/loss.png' width= \"200px\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## **Gradient Descent**\n",
    "\n",
    "<img src ='./img/neuralnetwork/gradient.png' width = 600 align = 'center'>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-16T13:16:06.927451Z",
     "start_time": "2019-01-16T13:16:06.921993Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "<img src ='./img/neuralnetwork/local.png' width = 800 align = 'center'>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "- Gradient descent 遍历全部数据集算一次损失函数,速度慢，;\n",
    "- stochastic gradient descent 速度比较快，但收敛性能不太好。\n",
    "- mini-batch gradient decent 把数据分为若干个批，按批来更新参数，一批中的一组数据共同决定了本次梯度的方向，减少了随机性。\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Chain rule for calculating derivative of the **loss function** with respect to the weights. \n",
    "\n",
    "Note that for simplicity, we have only displayed the partial derivative assuming a 1-layer Neural Network."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "We simply denotes error as $E = \\sum_{j=1}^{n} \\frac{1}{2} (y_j - \\widehat{y}_j)^2$\n",
    "\n",
    "Given $t_j$ is a constant, we have: $\\frac{\\partial E}{\\partial \\widehat{y}_{j}} = y_j - \\widehat{y} _j$\n",
    "\n",
    "Apply the chain rule for the differentiation:\n",
    "\n",
    "$\\frac{\\partial E}{\\partial w_{ij}} = \\frac{\\partial E}{\\partial \\widehat{y}_{j}} \\cdot \\frac{\\partial \\widehat{y}_j}{\\partial w_{ij}} = (y_j - \\widehat{y}_j) \\cdot \\frac{\\partial \\widehat{y}_j}{\\partial w_{ij}} $\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Further, we often use the `sigmoid function` as the activation function $\\sigma(x) = \\frac{1}{1+e^{-x}}$\n",
    "\n",
    "Given the deprivative: ![](./img/neuralnetwork/ex.gif)\n",
    "\n",
    "And it is easy to differentiate: $\\frac{\\partial \\sigma(x)}{\\partial x} = \\sigma(x) \\cdot (1 - \\sigma(x))$\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Given $\\widehat{y}_j = \\sigma(\\sum_{i=1}^{m} w_{ij}x_i)$, we have\n",
    "\n",
    "$\\frac{\\partial E}{\\partial w_{ij}} = (y_j - \\widehat{y}_j) \\cdot \\frac{\\partial }{\\partial w_{ij}}\\sigma(\\sum_{i=1}^{m} w_{ij}x_i)$\n",
    "\n",
    "\n",
    "\n",
    "$\\frac{\\partial E}{\\partial w_{ij}} = (y_j - \\widehat{y}_j) \\cdot  \\sigma(\\sum_{i=1}^{m} w_{ij}x_i) \\cdot (1 -  \\sigma(\\sum_{i=1}^{m} w_{ij}x_i)) \\frac{\\partial }{\\partial w_{ij}} \\sum_{i=1}^{m} w_{ij}x_i$\n",
    "\n",
    "$\\frac{\\partial E}{\\partial w_{ij}} = (y_j - \\widehat{y}_j) \\cdot  \\sigma(\\sum_{i=1}^{m} w_{ij}x_i) \\cdot (1 -  \\sigma(\\sum_{i=1}^{m} w_{ij}x_i)) \\cdot x_i$\n",
    "\n",
    "Adding the learning rate:\n",
    "\n",
    "$$\\frac{\\partial E}{\\partial w_{ij}} = error * x_i * derivative ofsigmoid * learning rate$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "How to update the weights during backpropagation?\n",
    "\n",
    "$$w_{i,j}^{'} = w_{i,j} - error * x_i * derivate of sigmoid * learning rate$$\n",
    "\n",
    "Note: $\\eta$ is the learning rate."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "**Understanding the Mathematics behind Gradient Descent**\n",
    "\n",
    "A simple mathematical intuition behind one of the commonly used optimisation algorithms in Machine Learning.\n",
    "\n",
    "[课后阅读：读懂梯度下降的数学原理](./readings/gradient_descent.html)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## [Readings: Demos of Backpropagation](./readings/Backpropagation.html)\n",
    "\n",
    "Source: http://home.agh.edu.pl/~vlsi/AI/backp_t_en/backprop.html\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "![](img/neuralnetwork/img01b.gif)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "![](img/neuralnetwork/img14.gif)\n",
    "\n",
    "- **df(e)/de** represents derivative of neuron activation function\n",
    "- **$\\sigma_1$** is the error of the hidden neuron 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-16T13:24:47.324282Z",
     "start_time": "2019-01-16T13:24:47.320063Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "<img src='./img/neuralnetwork/backpropagation2.png' width = '400' align = 'right'>\n",
    "The error is the difference between the target and the actual output:\n",
    "$e_i = \\frac{1}{2}  ( t_i - o_i ) ^ 2$\n",
    "\n",
    "- $e_1 = t_1 - o_1 = 1 - 0.92 = 0.08$\n",
    "\n",
    "Depending on this error, we have to change the weights accordingly. \n",
    "- we can calculate the fraction of the error e1 in w11 as:\n",
    "- $e_1 \\cdot \\frac{w_{11}}{\\sum_{i=1}^{4} w_{i1}} = 0.08 \\cdot \\frac{0.6}{0.6 + 0.4 + 0.1 + 0.2} = 0.037$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "<img src = './img/neuralnetwork/graph3.jpeg' width = '900'>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# This is the END"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "if time permits, let's go on. ✅"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T10:57:02.153335Z",
     "start_time": "2019-01-15T10:57:02.148752Z"
    },
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Handwritten Digit Recognition\n",
    "https://github.com/lingfeiwu/people2vec\n",
    "\n",
    "<img src = \"./img/neuralnetwork/digits.png\"  width=200 align = 'left'>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T06:09:32.966910Z",
     "start_time": "2019-01-15T06:09:32.963111Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "<img src = \"./img/neuralnetwork/net.jpeg\"  width=400 align = 'right'>\n",
    "\n",
    "**Each image has 8*8 = 64 pixels**\n",
    "- input = 64\n",
    "    - [0, 0, 1, 0, ..., 0]\n",
    "- batch size = 100\n",
    "    - split data into 100 batches. \n",
    "- hidden neurons = 50\n",
    "- output = 10\n",
    "- using relu activation function\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "<img src = \"./img/neuralnetwork/tensor2.jpeg\"  width=400 align = 'right'>\n",
    "\n",
    "- Set batch_size = 100 images\n",
    "- Given each image 64 pixels\n",
    "    - input_matrix = 100*64\n",
    "- Set #neurons= 50\n",
    "    - w1 = 64*50\n",
    "    - hidden_matrix = 100*50\n",
    "- Given #output = 10\n",
    "    - w2 = 50*10\n",
    "    - output = 100*10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 139,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-16T12:48:30.781155Z",
     "start_time": "2019-01-16T12:48:30.755864Z"
    },
    "slideshow": {
     "slide_type": "slide"
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   },
   "outputs": [],
   "source": [
    "# Author: Robert Guthrie\n",
    "import torch\n",
    "import torch.autograd as autograd\n",
    "import torch.nn as nn\n",
    "import torch.nn.functional as F\n",
    "import torch.optim as optim\n",
    "from torch.autograd import Variable\n",
    "\n",
    "import sys\n",
    "import matplotlib.cm as cm\n",
    "import networkx as nx\n",
    "import numpy as np\n",
    "import pylab as plt\n",
    "import matplotlib as mpl\n",
    "from collections import defaultdict\n",
    "from matplotlib.collections import LineCollection\n",
    "%matplotlib inline\n",
    "\n",
    "from sklearn import datasets\n",
    "from sklearn.manifold import Isomap\n",
    "from sklearn.manifold import TSNE\n",
    "from sklearn.manifold import MDS\n",
    "from sklearn.decomposition import PCA"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## 1. Loading data "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T14:02:35.687553Z",
     "start_time": "2019-01-15T14:02:35.673578Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "#basic functions\n",
    "# softmax\n",
    "def softmax(x):\n",
    "    e_x = np.exp(x - np.max(x)) # to avoid inf\n",
    "    return e_x / e_x.sum(axis=0)\n",
    "\n",
    "def softmaxByRow(x):\n",
    "    e_x = np.exp(x - x.max(axis=1, keepdims=True))\n",
    "    return e_x / e_x.sum(axis=1, keepdims=True)\n",
    "\n",
    "# flush print\n",
    "def flushPrint(d):\n",
    "    sys.stdout.write('\\r')\n",
    "    sys.stdout.write(str(d))\n",
    "    sys.stdout.flush()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T14:02:35.694040Z",
     "start_time": "2019-01-15T14:02:35.689601Z"
    },
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "inf"
      ]
     },
     "execution_count": 103,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# the limits of np.exp\n",
    "np.exp(1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T14:02:36.793003Z",
     "start_time": "2019-01-15T14:02:35.696003Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 360x360 with 25 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# load data\n",
    "digits = datasets.load_digits()\n",
    "# display data\n",
    "fig, ax = plt.subplots(5, 5, figsize=(5, 5))\n",
    "for i, axi in enumerate(ax.flat):\n",
    "    axi.imshow(digits.images[i], cmap='binary')\n",
    "    axi.set(xticks=[], yticks=[])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## 2. Neural Network (using numpy)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T14:02:36.800309Z",
     "start_time": "2019-01-15T14:02:36.795094Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "# prepare training sets\n",
    "N,  H, D_in, D_out = 100, 50, 64, 10 # batch size, hidden, input, output dimension\n",
    "k = 0.9 # the fraction traning data\n",
    "learning_rate = 1e-6\n",
    "L = len(digits.data)\n",
    "l = int(L*k)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T14:02:36.806597Z",
     "start_time": "2019-01-15T14:02:36.802446Z"
    },
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1797, 1617)"
      ]
     },
     "execution_count": 106,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "L, l"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T14:02:36.836809Z",
     "start_time": "2019-01-15T14:02:36.808290Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "Batches = {}\n",
    "M = 200 # number of batches\n",
    "for j in range(M):\n",
    "    index=list(np.random.randint(l, size=N)) # randomly sample N data points\n",
    "    y = np.zeros((N, 10))\n",
    "    y[np.arange(N), list(digits.target[index])] = 1\n",
    "    x=digits.data[index]\n",
    "    Batches[j]=[x,y]\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T14:02:36.842876Z",
     "start_time": "2019-01-15T14:02:36.839238Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "j = 7\n",
    "x, y = Batches[j]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T14:02:37.000238Z",
     "start_time": "2019-01-15T14:02:36.845540Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(x, cmap = 'binary') # 100*64\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T14:02:37.137251Z",
     "start_time": "2019-01-15T14:02:37.002354Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(y, cmap = 'binary') # 100*10\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## 3. Randomly initializing weights"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T14:02:37.146415Z",
     "start_time": "2019-01-15T14:02:37.140154Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "w1 = np.random.randn(D_in, H)/H \n",
    "w2 = np.random.randn(H, D_out)/H\n",
    "w1c = w1.copy() # for comprision in viz\n",
    "w2c = w2.copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T14:02:37.320213Z",
     "start_time": "2019-01-15T14:02:37.148714Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(w1, cmap = 'binary') # 64*50\n",
    "plt.title('w1', fontsize = 20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T14:02:37.490213Z",
     "start_time": "2019-01-15T14:02:37.322261Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(x.dot(w1), cmap = 'binary') # 100*50\n",
    "plt.title('h', fontsize = 20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## 4. Forwarding"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "**Relu activition function**\n",
    "\n",
    "<img src = './img/neuralnetwork/relu2.jpg' width = '800'>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "$$softmax = \\frac{e^x}{\\sum e^x}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T14:02:37.666413Z",
     "start_time": "2019-01-15T14:02:37.492356Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "h = x.dot(w1)\n",
    "# relu activation\n",
    "h_relu = np.maximum(h, 0)\n",
    "y_pred = h_relu.dot(w2)\n",
    "plt.imshow(y_pred, cmap = 'binary') # 100*10\n",
    "plt.title('predicted_relu', fontsize = 20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T14:02:37.812887Z",
     "start_time": "2019-01-15T14:02:37.668475Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# softmax\n",
    "y_predS=softmaxByRow(y_pred)\n",
    "plt.imshow(y_predS, cmap = 'binary') # 100*10\n",
    "plt.title('predicted_softmax', fontsize = 20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T14:02:37.978447Z",
     "start_time": "2019-01-15T14:02:37.814879Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(y_pred[0], 'r-o')\n",
    "plt.plot(y_predS[0], 'g-s')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## 5. Loss & Backpropagation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T14:05:14.102298Z",
     "start_time": "2019-01-15T14:05:14.097883Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "Loss=defaultdict(lambda:[])\n",
    "\n",
    "loss = np.square(y_predS - y).sum()\n",
    "Loss[j].append([t,loss])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T14:05:33.018428Z",
     "start_time": "2019-01-15T14:05:33.014166Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dict_items([(7, [[499, 90.08488189002807]])])"
      ]
     },
     "execution_count": 122,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Loss.items()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "**Our goal** in training is to find the best set of weights and biases that minimizes the loss function.\n",
    "\n",
    "- In order to know the appropriate amount to adjust the weights and biases by, \n",
    "    - we need to know **the derivative of the loss function** \n",
    "        - with respect to the weights and biases.\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "<img src = './img/neuralnetwork/graph3.jpeg' width = '900'>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T14:02:53.572185Z",
     "start_time": "2019-01-15T14:02:53.562862Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "# Backprop \n",
    "grad_y_pred = 2.0 * (y_predS - y)\n",
    "grad_w2 = h_relu.T.dot(grad_y_pred)\n",
    "grad_h_relu = grad_y_pred.dot(w2.T)\n",
    "grad_h = grad_h_relu.copy()\n",
    "grad_h[h < 0] = 0\n",
    "grad_w1 = x.T.dot(grad_h)\n",
    "# Update weights\n",
    "w1 -= learning_rate * grad_w1\n",
    "w2 -= learning_rate * grad_w2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T14:09:53.269786Z",
     "start_time": "2019-01-15T14:09:52.930428Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x216 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(8, 3))\n",
    "ax=fig.add_subplot(121)\n",
    "plt.imshow(w1, cmap = 'binary') # 64*50\n",
    "plt.title('w1_updated', fontsize = 20)\n",
    "ax=fig.add_subplot(122)\n",
    "plt.imshow(w2, cmap = 'binary') # 64*50\n",
    "plt.title('w2_updated', fontsize = 20)\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## 6. Put Together"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 131,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T14:10:48.366242Z",
     "start_time": "2019-01-15T14:10:31.457776Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "199"
     ]
    }
   ],
   "source": [
    "w1 = np.random.randn(D_in, H)/H \n",
    "w2 = np.random.randn(H, D_out)/H\n",
    "w1c = w1.copy() # for comprision in viz\n",
    "w2c = w2.copy()\n",
    "Loss=defaultdict(lambda:[])\n",
    "# traning \n",
    "for j in Batches:\n",
    "    flushPrint(j)\n",
    "    x,y=Batches[j]\n",
    "    for t in range(500):# repeated use of the same batch\n",
    "        # Forward\n",
    "        h = x.dot(w1)\n",
    "        h_relu = np.maximum(h, 0)\n",
    "        y_pred = h_relu.dot(w2)\n",
    "        y_predS=softmaxByRow(y_pred)\n",
    "        # loss\n",
    "        loss = np.square(y_predS - y).sum()\n",
    "        Loss[j].append([t,loss])\n",
    "        # Backprop \n",
    "        grad_y_pred = 2.0 * (y_predS - y)\n",
    "        grad_w2 = h_relu.T.dot(grad_y_pred)\n",
    "        grad_h_relu = grad_y_pred.dot(w2.T)\n",
    "        grad_h = grad_h_relu.copy()\n",
    "        grad_h[h < 0] = 0\n",
    "        grad_w1 = x.T.dot(grad_h)\n",
    "        # Update weights\n",
    "        w1 -= learning_rate * grad_w1\n",
    "        w2 -= learning_rate * grad_w2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T14:10:51.307840Z",
     "start_time": "2019-01-15T14:10:50.974356Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Uu0akSAyPtnjkkUeA2pkP8NOf/hSAt73tbdWYnOYemSENQ5qIJyQpeMCd4wsXLgSaYcOS+t0pLge2O7J1HA8AkPP8oYceavwf6sQpnRNqbeqiiy6qxnbeeWf6I43RHevSjjzU+qSTTuL6668fsH+SJL1L+kiSJBlzLFmypMqDcsFuv/2alVV83U9+8pNq2U28qqEHzZwyaAqoCvv1Mke9Qpq2kiRJkq4YUY1k6dKlPP3001XFXYDddtsNgAcffLAa+8UvfgE0cxbWW289oJlHodwHzzaXaUuOeKhNRJ2y3mXucceyzGye2a3t3LQjM5Y7wOXcVqa8zGR+Dg8s0PYeBaLgAc9il3nOHdsyc+21117VmOangAHPBdH99GKQujdugtNcPI/nd7/7XeMaoDapuRS27rrrZtHGJBljpGkrSZIxx/jx46uoS/k/oRllCYNnsH/wgx+slj/ykY9Uy/0Thh9++OFqWT5Vj7LsFUb0RRIRrLPOOtxzzz3VmCRct0UqJHWrrbaqxiRF33nnndWYNAt3tiuT3I+nDHFpDh5+6w5toeN5hU9pBx46rKx0rz/VP7PdtQ9pUG5TVf0rhfdCbVf18GfdJ5+Tggb8eHKun3LKKUBT+5JW5zW8pGm49rFo0SIAfvvb3w44ro4BtZbmmuOdd97ZMfs+SZLeJX0kSZIkSVekaStJkjFHX19fpd1Le4dmykH//7/2tXVBYa9C7n7TCy+8sLG/rBYAr3zlK4GmuatXGNEXycSJE9lss806duhzc5PMMe7YVe6D55vInukflj5UN8HIfKWwOzdn6Xj9baPQbOsrB7ibgGQ+kykIapOWzDtuYpPz3s1d2tePq33dltrfiQ61uc2vX2YrlYX3a5X5zE2Byl/xApHa1z8T3f9Ofdw9KGGDDTbIoo1JMsZI01aSJEnSFSOqkSxevJjHHnusCu+FOrHHNQLVy1LNJ6hDbd3ZLKe0O3td2+l/PGkCs2fPrtZJ63DNYcstW83WXCOQFO8O6E5aipD246HBWnaN4Je//CVQhy37di79K+zXNQydQ+Xx/XpUqt+rCEhb6tTqU05/qD8L1yyk4bk2pc/EtaRFixZl+G+yxrPeeutVwSyu0asNhfDmel7VwitsXHDBBR3HAS677LJqWZq7a/+9wgo1koj4UkQsjIj7bWyTiLghIn7Z/rvx8o6RJEmS9C5DMW19GTi239i7gRtLKdsDN7b/nyRJkoxBVmjaKqX8KCK27jd8IjCjvXwRMAt41xCOxbJlyxqmkG233RZoZqfLAezREJ16i8sc1CkD3jPA5byWaqkaO1CbpzxnRedyZ7uOd9NNN1Vj6mPg55c5rFMp9pe+9KUDrktmNC/a2CmzXeXh3QSohCqPApHZSrklXkZeZikPRFD/+pNPPrka0/1S2XuozYN+PVLR/V4/9thjHXNzkmRNQr9F0Gx9e9xxxzW2O+CAA6plj+Bys7ueYWg+s/33VyWITub3tZ1VvaLNSyn6Nf4dsPlgG0bEzIiYHRGzM1EtSZKk9+ja2V5KKRExaLxnKeUC4AKA6dOnl4kTJzZqbUk691pTcnC5pK9GVSonD/Wb3cNvJTnLiQ21xKzsbGkGUEvf8+bNq8ak6fzoRz+qxg455BCgWTLBzyukYUnqdwlF0rw7o+XQdilF5/eMddeO+uOOcmlEul/eMEuhzn4uHfdXv/pVNaaABnesy7Hv4dfSfvwaX/KSlzS2SZKk91nVF8kTETGtlPJ4REwDFq5wjyRJkjWExYsXV6Zbj6L0zqoAP/jBD6rlXXfdtVr2rqweBdm/l48XQ1U05ne/+91upr5GsqovkquBM4Hz2n+vGspO48aNY7311uO2226rxqRBuF1dWaMeeiep1z9MSfP+RZDd3utJ6cuhOlyeaCftxP0mkqg1Nz+H+wh22GGHAceTZqPQZG/NK23Kr1W1rrxvgcKJXXNT2LFrH7pGD12Wr+mrX/0qAK95zWsGXJeHX2vu3//+96sx19iE6oS5ZiQt0n0ukydP7kkbcJIkgzOU8N+vAT8BdoyI+RHxBlovkJdHxC+Bo9r/T5IkWW1kKsKay1Citk4fZNWRwzyXJEmS5fFl4HzgKzamVITzIuLd7f+vMIJ00qRJlebtnQ/7lwDyCFM3Z/3TP/1TtXz//dV7reHrBbjyyiurZfUU6sWoxhHNbB8/fjwbbbRRwxQj85E3YJIJyHuLyynu/cl32mmn6riif2Yq1CYg2TI92/yuu+4CmtnpMnN5MTeZ47wXvIqwXXvttdWYbKJyent2uMxD3uxK2/ucdK1+/boncuZDbWbzOclG+zd/8zdA5yxaNd2COpx49913r8YUVuyZ/TK9efixzFweYnz//ff3ZOZuMvoMZypCMrykMTtJkrWZVUpF8FyupHtGVCNZsmQJjz/+eNVeF+pEPA+llYTtYbKdkg+lUroDXkmCHkkhdVXJjO5Yl6TtWo0kdg8hlsbi2pQkcZfmpf1oni79d6pN1V8VhjrZSY2r/Fwepittx88vZ7/m8dd//dfVOjnbXWNQwIAHJ3SqxSX8+vtXGoZW7TTXrpJkpFiZVITtttsuS1QPI9mPJEmStZlVSkXo6+urTMOer3XooYc2tvvUpz5VLXsBxosvvrhadmHRK2QAnHrqqdWyqkj0YlRj711RkiRjCaUiwEqkIiTDy6j0bHcnskxRblqRaUSZ6I6XfJY5ynM7lNOg8vRQ548oasKd0zLteCl2mcLcjioTmOdxKAfEozD61/qaO3fugOty05LuhV+XzGJ+/aoT5k2kdF7PN9H9lPnMczw0X897UZ0uN0cpG97PL9Oj5+zIKd+/sVUvSlzJ6NNORZgBvDAi5gPn0Eo9+EY7LeFR4JTBj5CsLtK0lSTJWsFwpiIsWbKkEqzcj+ihvAD/+I//WC3/+Mc/rpa9UKOHDPcv2uj+RpUc6kVBa8TDfzfYYINGPLZuvFe/lcTcX9KFpgNeWoxL3ZLmpYVA/cFJc/GMdWkdfn5J+q4lKLPc609p2b9Iqkkl57jXBpNj3a9L59V+UEv9/oWTFuMage6JX6vGdA49LFB/+V2D0/a+ne6/a1qdGmvps/P7v95662VjqyQZY/TeqzFJkiQZUdK0lSTJmETh866h989slx8Qmj5Tr3DtPk9PI+h/PCUke5JyrzCiL5JSCn19fQ0nrsLlPLdDJh13gGs7zzeR89zNPXIe+5jMMvrAPWNbJiU3z+jL0Cmz3s1dMl95vonmJNOSf2l0Lr9+XauP6YvtOSZaVoMrqE1aHr6osg8KCvCsc5nR3LEuM6PfL+3jD5EKPXo1U83J80jGjRuXpq0kGWOkaStJkiTpihHXSJYsWdIoRa7aTQpbhbqlpauJchR7ral77rkHaIb6KgN+jz32qMYkuUv6d+1D0ryXTpdE3qldr0d1SGK/7777qjGVrJeWcswxxwyYr9f1krrsUrzK57umc+yxxwLNWmO6P65NKADhVa96FdAsGqeQYN0jgCuuuAKAN77xjdWYAgs8A1/VCDwoYcGCBUDzs/v5z3+etbaSNZ5JkyZVFTH8+3v77bc3tvNIrQMPPLBa9qZ3J510UrXsVhRoPtf6DfFnqFdIjSRJkiTpinyRJEmSJF2xQtNWRGxJq/7/5kABLiilfDIiNgEuA7YG5gGnlFKeXt6x1CHRuwE+9NBDQNOJLnOTO3blxPZy88p98MgImVWuu+66akyZ38qBOPjgg6t1Mh+5eahTDZ5rrrkGgHe+853VmMxMugaoHdB77rknUPc/hzqnxDs/ymTnpeVlenvFK15RjSn3xcu461rdBHfYYYcBtRqt4AO/bg82UNn5yy+/vBqTqdBNW0qscnOjAiA8B+W1r31to6x+kqyJPP/889Wz4aZ2VboQ/vx4G97Pfe5z1bKbxT25EZo1ufbee29gYGRXLzAUjWQp8C+llF2A/YG3RsQu1A1ltgdubP8/SZIkGWMMpUPi48Dj7eU/RsRcYAtWoaHMkiVLeOKJJxrOaUm6HkJ6/PHHA01JV9L/d7/73WpMmeWuucyaNQtoOuClbcjJ5WG9Rx99NNBsTqUwXc0D4MYbbwTg0UcfrcakJZ1wwgkDrlWaiGsQnRpGacy1NIXu+vkl2Rx00EHVmJzdXoZB92n27NkAHHDAAdU6Of48YEAlIM4999xqTAEAXv9MFQO8jL+HQou5c+dW8fJJkowNVipqq92dbE/gDobYUCYiZgIzoVmaJEmSZDRRFKe6n0Izggua5izPdTvzzDOrZTdVeb8ggMMPP7xalgDruV29wpCd7RGxAXA58PZSSqO9WGll3XVM1yylXFBK2buUsnenar5JkiTJ2s2QNJKImEjrJXJJKeWK9vBKN5SZMGECU6dOZc6cOdXYW9/6VqDpgJaT1/MR1IvdixvKHOSajkxknr+hhjIyxXgxRJmHOmWbe77Fm9/8ZgD++Z//uRqTie5LX/pSNSZnncxe119/fbVOzu5bbrmlGlPwgJunZBr60Ic+VI1JMvL8GJmv3Cz4ne98B6h7tnvTnRtuuAFolsL/4he/CDRj5JWNr2uAOhjCC04qUMFze5588snGZ5QkSe8zlKitAC4E5pZSPmar1FDmPLKhTJIkaxFKjoZmxGZ/05Sburwml/sKPcG5f4l4j0bVdmO1jPxBwOuAn0XEve2x97AKDWUiggkTJjQk2DvvvBNo9gJXKKyH0inE1suYS2NwaV7HcYe2woMlKXsZe0nn3uxJWsrNN99cjUn6do1AWeHKOvdzyNnux5XmNGPGjGpM/dn9CytN7Mgj6zYL+kJ+7Wtfq8akHfi90zl0DY5rLkL30EN9pZ2pwRXU99NDjRXO6Od69tlnUyNJkjHGUKK2bgEGq8K30g1lkiRJkt5iVKr/KpEN6lBTbxgl6dglXUm5Hiarujbuy9B6Dx1WtIRq67jE/NOf/hSgEbLaqdXujjvuWF2D6BS6rH2V5OR+Bvl5NA+o1WWvyaOQYb9+RXr4fdK1en2fffbZB6jLXLufSfv6uRR+7OeSluTRJdKs/N5p2e/J9OnTG9WFkyTpfbIfSZIkY44//elPVUFGb6erIBVx2WWXVcuXXHJJtbzNNttUyy7cet4YwAc/+MFqWebpr3zlK91MfY2k97w+SZIkyYgy4qatpUuXNkxGMmO5aUmmEg81lQSgPuFQR1t4BIXG3NwkZ3T/cvJQO4+9Xpcc3+6wV8a4O89l+vGoDQUDyKHv2d+6bp+vrtVNcTpup2ZT3plN1+HnUPa+zu/3Vdt5wyxJSR5donvtgQ1a36nWl8+zr6+vJzvAJUkyOGnaSpJkzDFt2jTe+973As0s9be85S2N7dyf6GWXzjjjjGpZeWrQLGsEcOGFF1bL22+/PUBP9usZ0RdJRFQVgIWaPHmo6dy5c4FmSKzskPowoG4UNW/evGpMlTi96q72lTTtDmPFjfuXRJVzPfxX83THvp9DSDqXE9ulei33L8MAzWY3kv5dc1FYr59TX3I5x32eSjCUFubH8FpjaqHrFUylOflnogAJ10ikTbo2N378+J6sbpqMPsNZiTwZXtJHkiTJ2kJWIl9DSdNWkiRrBcNZiXz+/Pm8+92t9835559fjXtlcmi2xVaPIWj2CvJ9lKQs3FqgUH9ZPHqJEX2RLF26lKeeeqqR2a18i6uuqiusqB/yLrvsUo3tt99+QNO0pZpdnikv841nu8tUI6e7f7gyI3Vq4uTOdp3fvwQ63nnnnVeNqSaX1rl5Stf64IMPVmMyqXmtL9Xnckf5zJkzG/P1efq1yhyl83qPdwUKeC6Kclv8HvZvBAZ1UIA71u+44w4ADj300Gps0003bZi6kmR1sCqVyJPVR5q2kiRZq1jVSuQRMTMiZkfEbBfwku4ZcWf7+PHjGwk8cpi7s1cVdn/2s59VYwpndc1FmoUc21A3qPIxaTGS3N2xLcew16uS9H3OOedUY//1X/8FwO67716NqRWvO/sl7WseJ598crVOjmrXElSvyrUkaSne/0DagYcfy/Hux1M1YWlhXldMlYA9PPff/u3fgKYDXiHWHkIttdzPr9Bp15I23HDDDP9NVhvdVCIvpVwAXACw0047lfe9730AfOYzn6m28ba7AEcccUS17MFqUefSAAAgAElEQVQnboXwNAUP2oFmcIySEz2Ip1dIjSRJkrWCIVQih6xEPiqkMTtJkrWFYatEngwvI/oimTBhAi984Qs7lnj3PgAyFXnijsxC3kdc+SieKd8pt0KmLJ3r1ltvrdbttddeA44h9dTPpeN6GXmVwD/rrLOqMTnIVeTRzWi6BlefZb7y7WSWO+qoo6oxmbY6mbt22mmnakymrEsvvRSoTVdQBw+4ui3TmhpcQW3u86KNOpd/TroO72O/6aab9mQr0WT0Gc5K5IsXL66KncpEDfCf//mfje28lYUKvAJst9121bLnannQCsDll19eLR9wwAFAnbvVS6RpK0mSJOmKEdVIxo8fz0YbbVS1g4U6xNdb7Ur6VXtZqJ29HmqqlrXuvJczWBoB1CGu0jC8Da8c0O6wlvPYNaITTjgBgB/+8IcDxj784Q9XY6pTpeAB136mT58ONGPTpYl4WK00EpeAlFm+5ZZbVmPSMLz+lvbRNXoIsTQi12pUidQd5tLmvCWv5uka2dVXXw3Ukha0NBYPR06SpPcZSqvd9YAfAeu2t/9WKeWciNgG+DowFZgDvK6UsnjwIyVJkqwZLF68uDLJnnTSSdX43Xff3dhu9uzZ1bJ3B/VoSM/LcuEPmomLyhX7yEc+0s3U10iGYtp6HjiilLI7sAdwbETsD3wY+HgpZTvgaeANq2+aSZIkyZrKUFrtFkCB0hPb/wpwBPDa9vhFwLnAZ5d3rCVLlrBw4cJGzoYcux6LrfwFN+PItOVOcZleXCLQendoq9+68klcslA3PzfjyLTj5jaZ4NzcpTm7U1ymJBV39LnJ7OYl42VS8rwXmfaUEwK1Q9DzOBQAIJMZ1Jn3ulbv0KgkLO9QKfOUS2UqKumfie6TOxZlenTn/dZbb50dEpNkjDEkH0lEjKdlvtoO+DTwa2BRKUVldOfTqnnTad+ZwExoJv0lSZKMFpMmTWK33XYDmv5Rj/aEpuC6//77V8vyu0JTuHKBDJpRWxLQvPp4rzCkF0kppQ/YIyKmAN8GdlrBLr5vlU364he/uPT19TVCXZW9fuyxx1Zjcop7GKleQr/97W+rMWkp7lCWxH7jjTdWY3LGS9L3L4Ec1X5c1etyjUg2UYXLAtx1111A5yZaCgRwTUPaiUKOoW4y9cgjjwyYk98nOeM9i17rfbvTTz+9sZ2HWkubcm3t4IMPBppaku6XO82Vrd5Jc/LGWk888QRZfiJJxhYrFf5bSlkE3AQcAEyJCL2IpgMLhnluSZIkyVrAUKK2NgWWlFIWRcQk4OW0HO03ASfTitwaUlmC8ePHM2XKlEarW2kdbo+XlO5VZKVyevVd93UI+UPcjCYNQ1qHaxCS2D1cWHNx6Vvn9zl1Or/UVmkQ7tNQ+K1fg/wMCkOGOunPE6Uk5fucdA5vNvXwww83rtHvq+brPgxpf15pWQlT7kuRNuP+EPm3PIJl8uTJjc83SdZEnn322aqzobee9irg0EwtcBPWDjvsUC3vs88+1fLZZ5/d2N87KcpM5l0Xe4WhmLamARe1/STjgG+UUq6JiAeAr0fEB4B7aNXASZIkScYYQ4nauo9W3f/+4w8D+66OSSVJkiRrDyOa2b5s2TL+8pe/NDKxleXtTmSVa5YjGGoziquUMiN57RrVwHEHtJZl5vFSz1rnTmk5li+++OJq7Pjjjx8wT5mIPPxW51DykWeR67rdtCVTnM+3fwgx1GHC3gBLJiQPCpCDXHPy8+tcflx1d3Nzn0KH3QHfvzkY1KYylZ3XcdK0lSRji6z+myTJmGPixImVQOVRhu7vg2ZEqPtLPIPdo0u9/BLUkaXQFBZ7jRF9kYwbN4711luvoRHIsextXRWe62115ZR2p/iVV14JND+sTk2h9AHKeewfqLbzUFdpDh5DrmXfTlK/Qn2hrrUlJ7trX3L6yyEOtSagdVBrRwovhrp2lzf72nnnnYGmhqOKyJqn2hZDHbrs2pc0DA8ikFblTkiFLvu5OvWejoiedCYmSTI4aYNIkiRJuiJNW0mSjDmWLl1a+WJdgz7ttNMa233pS1+qlr3y97nnnlstu5XAt4Fm6SVl0HfS5Nd2RvRFsmTJEp588slGbsXcuXOB2kwDdalyt13OmjULaJYcUB2pww8/vBq76aabGuugdgbLjOOmJTmx/fxCPZ0B5syZAzRNZlr2kgcyVclk5+XhZVJyU5zsrp7boWO4s1v3wmt36QHwXBHN6f777x8wN61z0+KZZ5454Pza1+euYAffTtVT3SwZEY3/J0nS+6RpK0mSJOmKEXe2T5o0qdGw6vOf/zzQdACrdezJJ59cjT300ENAU8KeNm0aULe8hVrDcalYTnFJ065VKKPcJW2pnjfccEM1pgAAr/R7xx13AM06YdJwFMmhUGKotQ/PDtd1u/Ylx7c3zFIDKp/nwoULgWZQguauysWenS7nubfL3XPPPQdcq8J6pfpDndnukSudAhumTp3acNwnyZqIUhH68973vrfxf3/ePXDmxz/+cbXsofPemheadehUzdtNYb1CaiRJkiRJV+SLJEmSJOmKEbdBLFu2rJGJ/prXvAaA22+/vRr73ve+B8C2225bjck85arjgw8+CDTLwh933HFA7TCG2qQjU5A71qVuKusb6gKNl156aTU2c+ZMoJmw9PKXvxyoHdFQ55so38XNbirf7uYuBQC4w1zn8N72nQpZqtCi57ZIXdd98pwZZcW7yUr32tV2marcjKb8FN9OQQtuPps2bVoj/yRJ1kQmTpxYBeTodwHggAMOaGznZttOxV6haZbun0Plv00yd/vz2iukRpIkSZJ0xYhqJKUU+vr6GtK3pAJ3Sult7+XR5TzvFP7q+6oWl8dq63ySsF2qV2iwJG6opW5lqUMdAOC1tnR+31dl3iW9eGCBxrzWlUKBPSRac3ftR1K/S0KauwcWKBhBmo7XxpIk5LW5JHG5w15hv142W/fMS+frvvu9zjpbyeoiItYDfgSsS+u361ullHMiYhta7Sym0urk+rpSSsagjyAZXpMkydrC88ARpZQ/RcRE4JaIuA54B/DxUsrXI+JzwBuAz67oYBK6vGOo51hBU0j96Ec/Wi27Cczb86qUkfA2vhKy3LTdK6T4mCTJWkFpIXPGxPa/AhwBfKs9fhFwUofdk9XIkDWSdmOr2cCCUsrxq6JORgTjxo3r2NHPq2wedthhQNO0IweuV92UI9mlhrvvvhtomnvkZJaZx8ue6/zuINb2b3/726sxzcVNa5JoPFNejnet83nIKeemsE7HkHnMnXjq6e6Ofe3rc998882B2jzljnXlgPhxJYGpUyLU5jjPbPd7JuQ8dAfjnDlzGp9vkgwn7d+hOcB2wKeBXwOLSilKMJsPbDHIvjOBmdC5u2my6qyMaessYC6gXpQfZhXUySRJklWllNIH7BERU4BvAzutxL4XABcATJkypVx//fUA/O3f/m21jUdm9ecTn/hEtXzOOedUyy7IeUl5aJZDkrDYi4LWkF4kETEdeAXwH8A7oiWCHgG8tr3JRcC5rOBFsmzZMhYvXtxwyMpe6HZKSccefqpeyi4lK2zPj6dMdfVnhzqTXE53d3ZLSvcPXCG0XkZeH75n1msu/uVRZnunplfKaHXHdidnvzQGD7WV1O/zVC2uvfbaqxpTSLSO62X3O51L99/ttrp3PqaHxcMhFSjh2srSpUt70gacrFmUUhZFxE3AAcCUiJjQ1kqmAwtGd3Zjj6H6SD4BvBPQL+ZUVkKdjIjZETG7F6teJkkyMkTEpm1NhIiYBLyclpXkJkD1lM4ErhqdGY5dVqiRRMTxwMJSypyImLGyJ3B1cvr06SmqJkmyqkwDLmr7ScYB3yilXBMRDwBfj4gPAPcAF67oQJMnT65aeavdNDT9rdC0ALg1Yr/99quW3ZfrGjs0LRJKJ7j33ntXNL21jqGYtg4CToiI44D1aPlIPskqqJPjx49ngw02aGRbd3LYyqSkzHGo7Ytu7lJXQQ+/U7idMtZ9H5mdHJlsXFuSacmz0mWOcjOWTGbKMIc690JOcXdiK1Pfi7bJse65HcqG3X///asxFWH0oomdOiTqnuj6PbNW5kO/XzIPKk8G6ofHHfu6brcH68HSNUDLxpxFG5PVQSnlPmDPDuMPA/uO/IwSsULTVinl7FLK9FLK1sBpwA9LKWeQ6mSSJElCdwmJ72Il1clly5bx3HPPNaRaNao644wzqjFJuIccckg1JilezmSA448/HmjWyeokJUvdVPa4Z5tLYvfwY0nuHjq7zz77APCtb32rGpPk7QEA0nrk0PYIDWlGrhZLY3G1WcvSQvy499xzTzWmhl6bbbbZgLlLg3r/+99frXv1q18NNPvDf+ELXwBg1113rcYU/uyfkwIVXKtTYINK/EMr/NeDFJIk6X1W6kVSSpkFzGovpzqZJMlaybrrrst2220HNAVRF9SgKcy6YKWOqVAXPoWBrXol7EJtRvaoyV5hRI3ZEydO5EUvelFDqlWDGK/IK23i1ltvrcYkzR966KHVmGz9XhNLlYV9O2kxCqd16V/ONddIpGGceuqp1dhtt90GNP0WasrlZREkpSvhyR158r14uLKqFPs1aH5qOgW1j8i/9DrOQQcdVI1dc801APzgBz8AmpqGQqhdg1BPaU+IlD9E1wK1ZuXOQ4X5ugby0pe+tGr4lSTJ2CBLpCRJkiRdkeE1SZKMOZYsWVL5Tt3H2b/ooltPPNHWNX3f3xOrAW655ZZqWdGQYzazfbjo6+vjmWeeYe+9967GTj/9dKBZmkA9xY8++uhqTI5tD13VB+thqnKef//736/GlAEuc9OCBXWksuyeXn9Kyz/60Y+qMZl73FF/zDHHAE2bp+apku1exl3HcNOPwm7l4IY6OMBNYDJL6X5BHb9+7bXXVmMKSda9cZOdrssfjt122w1oBidMmzYNgLlz51ZjXuZe6L578MC2227LFVdcMWDbJEl6lzRtJUmSJF0x4qatiGhIyUcddRTQ1Agk/XrG6Pz584Gm5K7lu+66qxqT8/hrX/taNaboDDmPPeJCWab77lsHoMl57E2k1LpWVXihLvbmCXjSNhRiK+ke6lBfV22lkUgLA9h9992BplNcGoar3tI+br755gFzkmbm91AhvK4RPvroo0DnBlwepSKtS5+Dn981stmzZ5OlcJI1ncWLF1fJw177zgNMAL75zW9Wy2984xur5Q984APV8tve9rZq2auDQx38AnXAUP/Cjr1AaiRJkiRJV+SLJEmSJOmKUTFtyZwCdY917w8uJ69MUlCXLJ81a1Y1tsceewDNwmqqZ+XmM6muMst4/SvlRbg5Rk55z49QPS1vVKVzeKSGVFvNyZ3tOp6uBWqnvNcfU76LO7uV7/KpT32qGlNmux9PJi0dQ/cIapOan0vXqoZYPk//THTdHqEiPFDi7rvv7smolKS3mDBhQlURwgs1zp49u7GdAmqgaeZyc5ZMxgCf+cxnGvt7r5Nvf/vbQP3M9xKpkSRJkiRdMeLhv0899VTVOApqCdpbX0qq/81vflONScL2+G1JyZ7Frn28Sq4aL+kYcshDLY0oRBhqyV0tf6F2snsYrGLEZ8yYUY3p2nRcOaT9/O5s03ldg1Jmu7QrqLUEaSFQh/H6vdM9kZPdj6vtPLNfc/HSENKw/Fp1Xa65ab0HJWy//fY9WQIiSZLByYTEJEnGHFOmTOHEE08EmlGPbs4FUDtegI9+9KPV8n//939Xyx4h+q//+q+N/d0ULPO4l37qFdK0lSRJknTFiGok48aNY/31129kVncqpKiMbi93rjwTN0upzLs3u5Ij2c0ycm516tmuTHl3WCs/xc1SyqlwM44c1O4UV7a3Kn16WQXNw88vU9SLX/ziakxmLL8nOq6bBYVfv+Ypk5VnrOtcblpTQy3/TLTenea6d+4o1P1x89mUKVMaGflJkvQ+adpKkmTM8cwzz/Cd73wHoBFF+qY3vamxnZuhVFkcmh1FX//611fLXsII4OMf/3i1LNPYN77xjS5mvmYyoi+SUgp9fX2NTHDVkPIQXjnbXfqXRO4SsSRxz97uFOIqrUBZ5j/96U+rdfpCuPah8GDNDWpNwOfu7YGFrkOSvmsQ0hY8XFDah2sJ0pJUBwvqjHkvN699PfxW90JagZd9l5bkGpECEVz70zFcS9F6d6TrejwDft111+14X5Ik6V2G9CKJiHnAH4E+YGkpZe+I2AS4DNgamAecUkp5erBjJEmSJL3Jymgkh5dSfm//fzdwYynlvIh4d/v/7xrW2SVJkqwG+vr6KuuBJz7ffvvtje3cUuCmLU809gZ0rp1Dsw22qom7RaJX6Ma0dSIwo718Ea0WvMt9kfT19bFo0aKGGUtmJP8w5Pj2D04FDN2MtddeewFNE5iKrrkJSuYumWq8MJvyODw7XTkontkuE5X3UZcj+2Uve1k1pi+SjrvVVltV69Qt0Qsvau7uFJcT/4YbbqjGdH88s17mJpmnoHba6/zq7Ah1oILngtx9990AHHDAAdWYgg28kKbMZzKPQW36c3Pjbbfd1vh8kyTpfYYaXlOA6yNiTkTMbI9tXkp5vL38O2DzTjtGxMyImB0Rs7N0RpIk3RIR4yPinoi4pv3/bSLijoj4VURcFhHrrOgYyfAyVI3k4FLKgojYDLghIh70laWUEhGl046llAuACwC22Wabsu2223LJJZdU65UB7r3NJUWrDhfAjjvuCDSlX2Vqu9QvJ7P3Npe2IQ3DtQ9lpXtSkhzvLv1LSldSEdR1eU4++eRqTD3Ypfoqc9/n6825HnjgAaAZJiytwht7Scq/9NJLq7G/+7u/A5oOePVqV3CCZ91LS/FABGk1XmNI+3ppfWlOXjFAx/EkrsmTJ2f4b7K6OQuYCyga5sPAx0spX4+IzwFvAD47WpMbiwzpRVJKWdD+uzAivg3sCzwREdNKKY9HxDRg4XIPkiRJ0iURMR14BfAfwDuiFSJ4BPDa9iYXAeeyghfJuHHjqqzzefPmVePePwiaPhLvheRFTj260XsjAbzyla+slmXG70VBa4VXFBHrR8RkLQNHA/cDVwNntjc7E7hqdU0ySZKkzSeAdwL6hZ8KLCqlKHt3PrBFpx3dzJ7N14aXoWgkmwPfbucGTAAuLaV8LyLuAr4REW8AHgVOWdGBlixZwuOPP954IyvPwTPL1bPczV0qoKhMeKgdv+5sFl4qXueTROE93pWV3qm3ujvWtXzcccdVY8oV8SgMOeXlqPbOg7/97W+BptSjXBg3Gcm05iY7zfNVr3pVNSYHuJulDjnkEKA243kUiebmeSQ6rheIlOlPlQOgNmN5XoyCFg488MDG8fpHriTJcBARxwMLSylzImLGyu7vZvYtt9yyoyk+WTVW+CIppTwM7N5h/A/AkatjUkmSJB04CDghIo4D1qPlI/kkMCUiJrS1kunAghUdaP78+VWBxa985SvVuFpvCy/C+O///u/VsgtL7vN0vybUPlOAM844A4Dzzz9/RdNb6xjxMvLPPPNM5TiHujz7q1/96mpMEr73VlcZA+9trj7q7tD2mHChTGtJ8K6tyFHsTnRpPV5GXud1R7Uy8N3GKm1Gzv6DDz64Wqft3L6qgALv9Swt5cILL6zG9ttvP6AZuquS+a4lyHkujchLPEg78u11rR4SLQ3ONcdOJeN1Dg+Tzp7tyeqilHI2cDZAWyP511LKGRHxTeBk4OukmX1U6D2vT5IkY4130XK8/4qWz+TCFWyfDDMjqpGMHz+ejTfeuKEWKjnPpXqF+HrEhJLfPCFRSYfe2Enah0vTqk6r43q1XPloXD2V5uJhwlr2XJjdd29Z/LxOlzQLXaMnVSrpUD4gn7sXjlM9K9fcFGFy7bXXVmNHHXUU0Az/VYKh5unHUDizJxqeeuqpQOfqv3798kd5HS0tu98qSUaCUsosWknQMr/vu7zt+7PllltWZqsPfvCD1bgn5kLzeVMCNDR/Xzx7XX5Q4U33ZObqVMF7bSc1kiRJkqQr8kWSJEmSdMWIl5F//vnnG02nZNLyWlNS/TxMVyagY489thpT46dOpi1PHtKxZeJy84xCcb0+lNTWTo5lN8vNnz+/sb2fQ85xP65Mam7a0r6uHivL3a9BJj3PoldQgs9T++gaPWNeznlVE4Da3OcOc5nW/D6p3L438VKggt+TE088scrWT5I1lWXLllVBIV7nrz9es89N4v7b5I3d+pt5/dlUvUDfvldIjSRJkiTpilHpkOgSrEJS/S0tjcST9DppE3IAe/tdaQ4eztq/dpY7mxXO62OSyN0ppjHfTsd1p7TOobm5piUNwjUYOefd2a71rrlpvTvWJRX5nLSd9vW5yWGvv9A5mVOfjyckSiNyLUnaVv/WwdnYKknGFtlqN0mSMce4ceMqIc5zvdwUBU2Tr0eRupmrk2AqXECUMOzm5l4hTVtJkiRJV4yoRhIRrLPOOo1cEL3B3dyiulfuqJa5RA5uqOtDuRQgc9SCBXWVBDnVZGbyLHLlj6h0u4/5cTU/74+uOblDTiYwObHdKdepZ7u233777asxBRHIOQ6w8847A02JqVPPdpm0dM1eCl9mLr+vClTwMeWguMlQTnY3N+o++ufpprwkScYGadpKkmRMIiHPfaH9zU7uu3Xfn/dFckHShSpoFm2V79OFy15hRF8kEyZMYNNNN+Wee+6pxtSm1rPD9WHeeeed1ZicvJ55qn1cwt9nn30AuOOOO6oxfZj6AG+55ZZqncL13P6pqr5qBAV1dWLXZtSASxnmUFfilaTvNlbt65K+nPKuQWm91+TSF9cz0LWdVynebbfdALjooosAOO+886p1uh6/19IgOoUzurNdc3HbsOqPeTjx4sWLe9IGnCTJ4KSPJEmSJOmKNG0lSTLmWLZsWeULdA26fy8d9926v9EjtXwfVd8WHl4vy4nv2ysM6UUSEVOALwIvBQrwD8AvgMuArYF5wCmllKcHOURFX19fw4m86667As1mT50aI8kE9fDDD1djciyroCPUPdC9eJqyxvWl6NRsyp3EMu34l0JmHLeTqhy9TFxQO891jZ51ry+sl1mXSclzSxQy6CYomZZ8njL3uQlK9lqFNHoZeQUUqFAmwA033NA4PtT32h8wBUC4qU4mQAUHQMscmWXkk2RsMVTT1ieB75VSdqLV5Gou8G7gxlLK9sCN7f8nSZIkY4wVaiQRsRFwKPB6gFLKYmBxRJwIzGhvdhGtks7vWt6xxo8fz0YbbdSQ0iW5e7llOY+9/a5qPV133XUDxtwBLKd0pxLwqnHl2dnSBFwjksrr0Rg674wZM6oxaRPebEul5YVfg5pduborqb+T5uIagRz1PndpB+7sVpa5/nq4tI7nYc2elS50T1zT0JylhUB9n9xRv2jRogFJWUmS9DZDMW1tAzwJ/N+I2B2YA5wFbF5KUfXB39Hq7T6AiJgJzIRmDkKSJMloERGVCd39IP3L+7h523OtvPCqehpBU3CDOv8L4L777gOaocO9wlBMWxOAvYDPllL2BP5MPzNWaYm6HWM+SykXlFL2LqXs7b6MJEmSpDcYikYyH5hfSlFixrdovUieiIhppZTHI2IasHBFB1q6dCm///3vqz7lUDuq9923bnAmh7WXVtdb3x25KmCoXAyoJQp3CitaQnkXbrJR3ombm5Qp7uamTlKEMuu9a6Ic9eoj79elda94xSuqsVmzZgHNiJBOfdR1/ptvvrka23///YGm1OPH6T83OerdiS/znR9XTnk30ynSxHN2tK+btp555pk0bSXJGGOFL5JSyu8i4jcRsWMp5RfAkcAD7X9nAue1/161WmeaJEkyTEREJQDJdwnNitvQ9Em6ECX/LDRNXp3OIyRAerJ0rzDUPJL/DVwSEesADwN/T8ss9o2IeAPwKHDKUA5USmmE/8rZe/vtt1djksQ93loag0vJ0izc2axaVC7N68NUVvhWW21VrZP245nlKpngWsh2220HNKVvnd8d1grF1RfywQcfrNZJ0/Drl4bVqdmWaxe6Ri8jr/O7Q1892xWAcOSRR1brVC/LNTIFIniwgc7r5SF0LzwAQMfxbP+pU6c2ghSSJOl9hvTEl1LuBfbusOrIDmNJkiTJGCJFxyRJxhzPP/88jzzyCACnnnpqNf6Wt7ylsZ239j7hhBOqZffLXn311dXye97znsb+V11VW/yl/Y/ZzPbhZNy4cY3McplH/ObKtOKmHZmADjvssGpMPcO9eqeKL3pp9f7n8MKHwqt2KsvbS7YrRNDNQio37456mXkUKOBmHs3Tm92okKI75ZVt36nLo+dxKATRM9tlUlPYopvRhJvsdF3uIJcZz9F6N2MJv/43vOEN3HvvvQO2SZKkd8mijUmSJElXxEiW/I6IJ2nlofx+Rduu4byQvIblsVUpZdMVb5Yko8Mw/Rat6jPUc8/HiL5IACJidimlk+N+rSGvIUnWfrp9BvIZqknTVpIkSdIV+SJJkiRJumI0XiQXjMI5h5u8hiRZ++n2GchnqM2I+0iSJEmS3iJNW0mSJElX5IskSZIk6YoRfZFExLER8YuI+FVErPGteSNiy4i4KSIeiIifR8RZ7fFNIuKGiPhl++/Goz3XFRER4yPinoi4pv3/bSLijvZncVm7IGeSjAm6/S2KiHkR8bOIuDciZq+OOa5NjNiLJCLGA58G/hewC3B6ROwyUudfRZYC/1JK2QXYH3hre85rY7/6s4C59v8PAx8vpWwHPA28YVRmlSQjzDD+Fh1eStkjc0lGViPZF/hVKeXhdt/3rwMnjuD5V5pSyuOllLvby3+k9UO8Ba15X9Te7CLgpNGZ4dCIiOnAK4Avtv8fwBG0mpTBWnANSTKMrHW/RWs6I/ki2QLwCoLz22NrBRGxNbAncAdD7Fe/BvEJ4J3Asvb/pwKLSimqQLlWfRZJ0iXD8VtUgOsjYgeZtMMAAAFwSURBVE5EzBy2ma2lpLN9CETEBsDlwNtLKf/j65bXr35NICKOBxaWUuaM9lySpIc4uJSyFy3z2Fsj4tDRntBoMpIvkgXAlvb/6e2xNZqImEjrJXJJKeWK9vAT7T71DLVf/ShyEHBCRMyjpcIfAXwSmBIRqnG/VnwWSTJMdP1bVEpZ0P67EPg2LXPZmGUkXyR3Adu3o4XWAU4Drl7BPqNK25dwITC3lPIxW3U1rT71sIb3qy+lnF1KmV5K2ZrWPf9hKeUM4Cbg5PZma/Q1JMkw09VvUUSsHxGTtQwcDdy/Wma6ljBija1KKUsj4m3A94HxwJdKKT8fqfOvIgcBrwN+FhHq1vQe4DxWoV/9Gsa7gK9HxAeAe2i9MJOk5xmG36LNgW+35EwmAJeWUr43/DNde8gSKUmSJElXpLM9SZIk6Yp8kSRJkiRdkS+SJEmSpCvyRZIkSZJ0Rb5IkiRJkq7IF0mSJEnSFfkiSZIkSbri/weLtCQAL+C3TAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 576x216 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(8, 3))\n",
    "ax=fig.add_subplot(121)\n",
    "plt.imshow(w1, cmap = 'binary') # 64*50\n",
    "plt.title('w1_updated', fontsize = 20)\n",
    "ax=fig.add_subplot(122)\n",
    "plt.imshow(w2, cmap = 'binary') # 64*50\n",
    "plt.title('w2_updated', fontsize = 20)\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T14:11:16.001317Z",
     "start_time": "2019-01-15T14:11:15.143375Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Dispaly loss decreasing\n",
    "fig = plt.figure(figsize=(5, 4))\n",
    "cmap = cm.get_cmap('rainbow',M)\n",
    "for i in Loss:\n",
    "    epochs,loss=zip(*sorted(Loss[i]))\n",
    "    plt.plot(epochs,loss,color=cmap(i),alpha=0.7)\n",
    "plt.xlabel('Epochs',fontsize=18)\n",
    "plt.ylabel('Loss',fontsize=18)\n",
    "ax1 = fig.add_axes([0.2, 0.8, 0.65, 0.03])\n",
    "cb1 = mpl.colorbar.ColorbarBase(ax1, cmap=cmap,\n",
    "                                norm=mpl.colors.Normalize(vmin=0, vmax=M),\n",
    "                                orientation='horizontal')\n",
    "cb1.set_label('N of batches')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T14:11:18.784500Z",
     "start_time": "2019-01-15T14:11:18.774864Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9333333333333333"
      ]
     },
     "execution_count": 134,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Test\n",
    "TestData=digits.data[-(L-l):]\n",
    "PredictData=np.maximum(TestData.dot(w1),0).dot(w2)\n",
    "compare=np.argmax(PredictData,axis=1)-digits.target[-(L-l):]\n",
    "Accuracy=list(compare).count(0)/float(len(compare))\n",
    "Accuracy"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "#  Visualization"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## 3.1 Matrices as manifold translators\n",
    "\n",
    "before and after training"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 137,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-16T12:48:13.033897Z",
     "start_time": "2019-01-16T12:48:12.233877Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cmap=plt.cm.get_cmap('Accent', 10)\n",
    "fig = plt.figure(figsize=(12, 4))\n",
    "fig.add_subplot(141)\n",
    "plt.imshow(w1c,cmap='Blues')\n",
    "plt.title('w1 before training')\n",
    "fig.add_subplot(142)\n",
    "plt.imshow(w1,cmap='Blues')\n",
    "plt.title('w1 after training')\n",
    "fig.add_subplot(143)\n",
    "plt.imshow(w2c,cmap='Blues')\n",
    "plt.title('w2 before training')\n",
    "fig.add_subplot(144)\n",
    "plt.imshow(w2,cmap='Blues')\n",
    "plt.title('w2 after training')\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-16T12:49:05.901464Z",
     "start_time": "2019-01-16T12:49:05.755229Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "# dimension reduction for viz\n",
    "pca = PCA(n_components=2)\n",
    "projectionPixel = pca.fit_transform(w1) # 64*2\n",
    "projectionLabel = pca.fit_transform(w2.T) # 10*2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 145,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-16T12:53:45.964933Z",
     "start_time": "2019-01-16T12:53:45.956340Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "G=nx.grid_2d_graph(8,8)\n",
    "pos=dict(((i,j),(i,j)) for i,j in G.nodes())\n",
    "index=sorted(pos.keys())\n",
    "posPixel=dict(zip(index, projectionPixel))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T06:09:32.966910Z",
     "start_time": "2019-01-15T06:09:32.963111Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "<img src = \"./img/neuralnetwork/space2.jpeg\"  width=300 align = 'center'>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T06:09:32.966910Z",
     "start_time": "2019-01-15T06:09:32.963111Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "<img src = \"./img/neuralnetwork/space.jpg\"  width=600 align = 'center'>\n",
    "\n",
    "https://cs.stanford.edu/people/karpathy/convnetjs/demo/classify2d.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 179,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-16T16:00:03.404369Z",
     "start_time": "2019-01-16T16:00:01.736633Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x576 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(16, 8))\n",
    "#\n",
    "ax=fig.add_subplot(241)\n",
    "data3_1=digits.images[3]\n",
    "x,y,z=zip(*[(i,j,data3_1[i,j]) for i,j in index])\n",
    "#nx.draw_networkx_edges(G,pos=pos,color='gray',alpha=0.5)\n",
    "plt.scatter(y,x,s=100,c=z,cmap='binary')\n",
    "plt.imshow(data3_1,cmap='Blues')\n",
    "#\n",
    "ax=fig.add_subplot(245)\n",
    "line_segments = LineCollection([[posPixel[i],posPixel[j]] for i,j in G.edges()],\\\n",
    "                               color='gray',zorder=1)\n",
    "ax.add_collection(line_segments)\n",
    "x,y,z=zip(*[(projectionPixel[n][0],projectionPixel[n][1],data3_1[xy[0],xy[1]]) \\\n",
    "            for n,xy in enumerate(index)])\n",
    "plt.scatter(x,y,s=100,c=z,cmap='binary',zorder=2)\n",
    "#\n",
    "ax=fig.add_subplot(242)\n",
    "data3_2=digits.images[13]\n",
    "x,y,z=zip(*[(i,j,data3_2[i,j]) for i,j in index])\n",
    "#nx.draw_networkx_edges(G,pos=pos,color='gray',alpha=0.5)\n",
    "plt.scatter(y,x,s=100,c=z,cmap='binary')\n",
    "plt.imshow(data3_2,cmap='Blues')\n",
    "#\n",
    "ax=fig.add_subplot(246)\n",
    "line_segments = LineCollection([[posPixel[i],posPixel[j]] for i,j in G.edges()],\\\n",
    "                               color='gray',zorder=1)\n",
    "ax.add_collection(line_segments)\n",
    "x,y,z=zip(*[(projectionPixel[n][0],projectionPixel[n][1],data3_2[xy[0],xy[1]]) \\\n",
    "            for n,xy in enumerate(index)])\n",
    "plt.scatter(x,y,s=100,c=z,cmap='binary',zorder=2)\n",
    "#\n",
    "ax=fig.add_subplot(243)\n",
    "data4_1=digits.images[4]\n",
    "x,y,z=zip(*[(i,j,data4_1[i,j]) for i,j in index])\n",
    "#nx.draw_networkx_edges(G,pos=pos,color='gray',alpha=0.5)\n",
    "plt.scatter(y,x,s=100,c=z,cmap='binary')\n",
    "plt.imshow(data4_1,cmap='Blues')\n",
    "#\n",
    "#\n",
    "ax=fig.add_subplot(247)\n",
    "line_segments = LineCollection([[posPixel[i],posPixel[j]] for i,j in G.edges()],\\\n",
    "                               color='gray',zorder=1)\n",
    "ax.add_collection(line_segments)\n",
    "x,y,z=zip(*[(projectionPixel[n][0],projectionPixel[n][1],data4_1[xy[0],xy[1]]) \\\n",
    "            for n,xy in enumerate(index)])\n",
    "plt.scatter(x,y,s=100,c=z,cmap='binary',zorder=2)\n",
    "#\n",
    "ax=fig.add_subplot(244)\n",
    "data4_2=digits.images[14]\n",
    "x,y,z=zip(*[(i,j,data4_2[i,j]) for i,j in index])\n",
    "#nx.draw_networkx_edges(G,pos=pos,color='gray',alpha=0.5)\n",
    "plt.scatter(y,x,s=100,c=z,cmap='binary')\n",
    "plt.imshow(data4_2,cmap='Blues')\n",
    "#\n",
    "#\n",
    "ax=fig.add_subplot(248)\n",
    "line_segments = LineCollection([[posPixel[i],posPixel[j]] for i,j in G.edges()],\\\n",
    "                               color='gray',zorder=1)\n",
    "ax.add_collection(line_segments)\n",
    "x,y,z=zip(*[(projectionPixel[n][0],projectionPixel[n][1],data4_2[xy[0],xy[1]]) \\\n",
    "            for n,xy in enumerate(index)])\n",
    "plt.scatter(x,y,s=100,c=z,cmap='binary',zorder=2)\n",
    "#\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## 3.3 Alternative manifold learning methods"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "# dimension reduction for viz\n",
    "pca = PCA(n_components=2)\n",
    "iso = Isomap(n_components=2)\n",
    "tsne = TSNE(n_components=2)\n",
    "mds = MDS(n_components=2)\n",
    "#\n",
    "encodeData = digits.data.dot(w1)\n",
    "projection0 = pca.fit_transform(digits.data)\n",
    "projection1 = pca.fit_transform(encodeData)\n",
    "projection2 = mds.fit_transform(digits.data)\n",
    "projection3 = iso.fit_transform(digits.data)\n",
    "projection4 = tsne.fit_transform(digits.data)\n",
    "#\n",
    "targ = np.zeros((len(digits.target), 10))\n",
    "targ[np.arange(len(digits.target)), list(digits.target)] = 1\n",
    "encodeTarget = w2.dot(targ.T).T\n",
    "projection11 = pca.fit_transform(encodeTarget)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 320,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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xb8RZE2sQ8TrggDHmWrs1YgrWA2yC/cutOnBOqVoh1jSr7Y0xf6mj870B7DHG/Pc3E6ta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IIlhBBCCCGEEOVEKlhCCCGEEEIIUU6kgiWEEEIIIYQQ5UQqWEIIIYQQQghRTqSCJYQQQggh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gSRLb9KcWuyPdgxnqFkh3rfe/WmBJkjT5NG8NP834ucDcv25G/03y83JIPZZCaWkje3av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\nQkTangAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x126a6e7d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# viz\n",
    "cmap=plt.cm.get_cmap('Accent', 10)\n",
    "fig = plt.figure(figsize=(12, 8))\n",
    "#\n",
    "def viz(projection,ax,title):\n",
    "    plt.scatter(projection[:, 0], projection[:, 1],lw=0,s=6,c=digits.target, cmap=cmap)\n",
    "    #plt.colorbar(ticks=range(10), label='digit value')\n",
    "    plt.title(title)\n",
    "    ax.set_axis_bgcolor('black')    \n",
    "#\n",
    "ax=fig.add_subplot(233)\n",
    "xs,ys=np.round(projection11,3).T\n",
    "for x,y,i in set(zip(xs, ys,digits.target)):\n",
    "    plt.scatter(x,y,alpha=0)\n",
    "    plt.text(x,y,str(i),color=cmap(i),size=18)\n",
    "ax.set_axis_bgcolor('black')\n",
    "plt.title('PCA encode label (50D)')\n",
    "#\n",
    "viz(projection0,fig.add_subplot(231),'PCA raw data (64D)')\n",
    "viz(projection1,fig.add_subplot(232),'PCA encode data (50D)')\n",
    "#viz(projection11,fig.add_subplot(233),'PCA encode label (50D)')\n",
    "viz(projection2,fig.add_subplot(234),'MDS raw data (64D)')\n",
    "viz(projection3,fig.add_subplot(235),'Isomap raw data (64D)')\n",
    "viz(projection4,fig.add_subplot(236),'TSNE raw data (64D)')\n",
    "#\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "# Neural Network (using PyTorch)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T13:18:15.255872Z",
     "start_time": "2019-01-15T13:18:15.206256Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "# initialize\n",
    "dtype = torch.FloatTensor\n",
    "w1 = Variable(torch.randn(D_in, H).type(dtype)/H, requires_grad=True)\n",
    "w2 = Variable(torch.randn(H, D_out).type(dtype)/H, requires_grad=True)\n",
    "learning_rate = 1e-6\n",
    "Loss=defaultdict(lambda:[])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T13:23:41.138445Z",
     "start_time": "2019-01-15T13:22:50.871804Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "199"
     ]
    }
   ],
   "source": [
    "# train\n",
    "for j in Batches:\n",
    "    flushPrint(j)\n",
    "    x,y=Batches[j]\n",
    "    x = Variable(torch.from_numpy(x).type(dtype), requires_grad=False)  \n",
    "    y = Variable(torch.from_numpy(y).type(dtype), requires_grad=False)\n",
    "    for t in range(500):\n",
    "        y_pred = x.mm(w1).clamp(min=0).mm(w2)\n",
    "        softmax = nn.Softmax(dim=1)\n",
    "        y_soft=softmax(y_pred)\n",
    "        loss = (y_soft - y).pow(2).sum()\n",
    "        Loss[j].append([t,loss.data.item()])\n",
    "        loss.backward()\n",
    "        w1.data -= learning_rate * w1.grad.data\n",
    "        w2.data -= learning_rate * w2.grad.data\n",
    "        w1.grad.data.zero_()\n",
    "        w2.grad.data.zero_()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T13:24:28.852712Z",
     "start_time": "2019-01-15T13:24:28.058340Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Dispaly loss decreasing\n",
    "fig = plt.figure(figsize=(5, 4))\n",
    "cmap = cm.get_cmap('rainbow',M)\n",
    "for i in Loss:\n",
    "    epochs,loss=zip(*sorted(Loss[i]))\n",
    "    plt.plot(epochs,loss,color=cmap(i),alpha=0.7)\n",
    "plt.xlabel('Epochs',fontsize=18)\n",
    "plt.ylabel('Loss',fontsize=18)\n",
    "ax1 = fig.add_axes([0.2, 0.8, 0.65, 0.03])\n",
    "cb1 = mpl.colorbar.ColorbarBase(ax1, cmap=cmap,\n",
    "                                norm=mpl.colors.Normalize(vmin=0, vmax=M),\n",
    "                                orientation='horizontal')\n",
    "cb1.set_label('N of batches')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-15T13:24:34.973321Z",
     "start_time": "2019-01-15T13:24:34.961949Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9277777777777778"
      ]
     },
     "execution_count": 97,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "TestData=digits.data[-(L-l):]\n",
    "xTest = Variable(torch.from_numpy(TestData).type(dtype), requires_grad=False)\n",
    "PredictData = xTest.mm(w1).clamp(min=0).mm(w2)\n",
    "compare=np.argmax(PredictData.data.numpy(),axis=1)-digits.target[-(L-l):]\n",
    "Accuracy=list(compare).count(0)/float(len(compare))\n",
    "Accuracy"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "slideshow": {
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   "source": [
    "This is the end.\n",
    "- https://github.com/lingfeiwu/people2vec\n",
    "- http://neuralnetworksanddeeplearning.com/chap1.html\n",
    "- https://en.wikipedia.org/wiki/Backpropagation\n",
    "- http://cs231n.github.io/neural-networks-case-study/\n",
    "- https://towardsdatascience.com/how-to-build-your-own-neural-network-from-scratch-in-python-68998a08e4f6"
   ]
  }
 ],
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